{"id":"https://openalex.org/W3007390018","doi":"https://doi.org/10.1093/logcom/exaa015","title":"Embeddings of Bishop spaces","display_name":"Embeddings of Bishop spaces","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3007390018","doi":"https://doi.org/10.1093/logcom/exaa015","mag":"3007390018"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exaa015","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa015","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078783893","display_name":"Iosif Petrakis","orcid":"https://orcid.org/0000-0002-4121-7455"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Iosif Petrakis","raw_affiliation_strings":["Mathematics Institute, Ludwig-Maximilians Universit\u00e4t M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematics Institute, Ludwig-Maximilians Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078783893"],"corresponding_institution_ids":["https://openalex.org/I8204097"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":2.3112,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87403156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"1","first_page":"349","last_page":"379"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.7687084078788757},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7054149508476257},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.5562157034873962},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.5067160725593567},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5028910040855408},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4139617681503296},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3930107355117798},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36966168880462646},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34332817792892456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19129520654678345},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13853469491004944}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7687084078788757},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7054149508476257},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5562157034873962},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.5067160725593567},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5028910040855408},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4139617681503296},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3930107355117798},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36966168880462646},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34332817792892456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19129520654678345},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13853469491004944},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exaa015","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa015","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W105023001","https://openalex.org/W132036571","https://openalex.org/W648714180","https://openalex.org/W1486536800","https://openalex.org/W1516030196","https://openalex.org/W1569391599","https://openalex.org/W1579817075","https://openalex.org/W1590304156","https://openalex.org/W1972499826","https://openalex.org/W1983437996","https://openalex.org/W1993984283","https://openalex.org/W2005501722","https://openalex.org/W2005532345","https://openalex.org/W2024315465","https://openalex.org/W2048212283","https://openalex.org/W2049407993","https://openalex.org/W2067914884","https://openalex.org/W2077034249","https://openalex.org/W2080360328","https://openalex.org/W2282830184","https://openalex.org/W2326155258","https://openalex.org/W2361191797","https://openalex.org/W2404532447","https://openalex.org/W2491176010","https://openalex.org/W2612724341","https://openalex.org/W2798138719","https://openalex.org/W2955247265","https://openalex.org/W2955639486","https://openalex.org/W2999591411","https://openalex.org/W3095534068","https://openalex.org/W3158407126","https://openalex.org/W3197179860","https://openalex.org/W4205256774","https://openalex.org/W4213027913","https://openalex.org/W4239316923","https://openalex.org/W4252421805","https://openalex.org/W4286981849","https://openalex.org/W4298199426","https://openalex.org/W6632526129","https://openalex.org/W6670694159","https://openalex.org/W6694341073","https://openalex.org/W6728151798","https://openalex.org/W6749816175","https://openalex.org/W6750256080","https://openalex.org/W6764965534","https://openalex.org/W6765060811","https://openalex.org/W6765242936","https://openalex.org/W6770615324"],"related_works":["https://openalex.org/W1490568884","https://openalex.org/W1780530600","https://openalex.org/W158287491","https://openalex.org/W2032906403","https://openalex.org/W4238710811","https://openalex.org/W201195458","https://openalex.org/W2202889624","https://openalex.org/W2041715967","https://openalex.org/W2005532345","https://openalex.org/W3098887652"],"abstract_inverted_index":{"Abstract":[0],"We":[1,84],"develop":[2],"the":[3,15,42,46,56,59,65,74],"basic":[4,16],"constructive":[5,31,39,93],"theory":[6,18,25,44,66,72],"of":[7,9,19,21,26,45,48,58,67,73,77,92,102],"embeddings":[8,20],"Bishop":[10,27,68,79],"spaces":[11,28],"in":[12],"parallel":[13],"to":[14,33,41],"classical":[17,43,60],"topological":[22],"spaces.":[23,69],"The":[24,70],"is":[29,55,81],"a":[30,37,78],"approach":[32],"point-function":[34],"topology":[35,80],"and":[36],"natural":[38],"alternative":[40],"rings":[47],"continuous":[49],"functions.":[50],"Our":[51],"most":[52],"significant":[53],"result":[54],"translation":[57],"Urysohn":[61],"extension":[62],"theorem":[63],"within":[64,86],"related":[71],"zero":[75],"sets":[76],"also":[82],"included.":[83],"work":[85],"$\\textrm{BISH}^{\\ast":[87],"}$,":[88],"Bishop\u2019s":[89],"informal":[90],"system":[91],"mathematics":[94],"$\\textrm{BISH}$":[95],"equipped":[96],"with":[97,100],"inductive":[98],"definitions":[99],"rules":[101],"countably":[103],"many":[104],"premises.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
